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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Four Equal Spans » Aluminum I Beam » 3.00 × 2.030
Aluminum I Beam | Single Span | Two Equal Spans | Three Equal Spans | Four Equal Spans

For a simply supported beam in four equal spans, we compute the displacement at the middle of the first and fourth spans, and the maximum normal stress stress_max occuring at the second and fourth supports of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 2.71 in4) for the 3.00 × 2.030 Aluminum I Beam and the typical Young's modulus (E = 1.015 × 107 psi) of Aluminum Alloys. Note that the typical yielding stress Yield of Aluminum Alloys can range from 4061 to 7.614 × 104 psi. The purpose of this page is to give a rough estimation of the load-bearing capacity of this particular beam, rather than a guideline for designing actual building structures. Please check your local building codes for regulatory requirements.
Note: The weight of the beam itself is not included in the calculation.
L = 3 ft
L = 5 ft
L = 10 ft
L = 15 ft
L = 20 ft
L = 25 ft
L = 30 ft
L = 40 ft
   
Aluminum I Beam: 3.00 × 2.030 (3.00 inch tall × 2.030 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
2.03 6.51 × 10-5 13.0
3.00 9.61 × 10-5 19.2
4.00 1.28 × 10-4 25.6
5.00 1.60 × 10-4 32.0
6.00 1.92 × 10-4 38.4
7.00 2.24 × 10-4 44.8
8.00 2.56 × 10-4 51.2
9.00 2.88 × 10-4 57.6
10.0 3.20 × 10-4 64.0
20.0 6.41 × 10-4 128
30.0 9.61 × 10-4 192
40.0 0.00128 256
50.0 0.00160 320
60.0 0.00192 384
70.0 0.00224 448
80.0 0.00256 512
90.0 0.00288 576
100 0.00320 640
200 0.00641 1280
300 0.00961 1920
400 0.0128 2560
500 0.0160 3200
600 0.0192 3840
700 0.0224 4480
800 0.0256 5120
900 0.0288 5760
1000 0.0320 6400
2000 0.0641 1.28 × 104
3000 0.0961 1.92 × 104
4000 0.128 2.56 × 104
5000 0.160 3.20 × 104
6000 0.192 3.84 × 104
7000 0.224 4.48 × 104
8000 0.256 5.12 × 104
9000 0.288 5.76 × 104
1.00 × 104 0.320 6.40 × 104
1.19 × 104 0.381 7.61 × 104
Aluminum I Beam: 3.00 × 2.030 (3.00 inch tall × 2.030 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
2.03 5.02 × 10-4 36.1
3.00 7.42 × 10-4 53.4
4.00 9.89 × 10-4 71.1
5.00 0.00124 88.9
6.00 0.00148 107
7.00 0.00173 124
8.00 0.00198 142
9.00 0.00223 160
10.0 0.00247 178
20.0 0.00495 356
30.0 0.00742 534
40.0 0.00989 711
50.0 0.0124 889
60.0 0.0148 1070
70.0 0.0173 1240
80.0 0.0198 1420
90.0 0.0223 1600
100 0.0247 1780
200 0.0495 3560
300 0.0742 5340
400 0.0989 7110
500 0.124 8890
600 0.148 1.07 × 104
700 0.173 1.24 × 104
800 0.198 1.42 × 104
900 0.223 1.60 × 104
1000 0.247 1.78 × 104
2000 0.495 3.56 × 104
3000 0.742 5.34 × 104
4000 0.989 7.11 × 104
4280 1.06 7.61 × 104
Aluminum I Beam: 3.00 × 2.030 (3.00 inch tall × 2.030 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
2.03 0.00803 144
3.00 0.0119 213
4.00 0.0158 285
5.00 0.0198 356
6.00 0.0237 427
7.00 0.0277 498
8.00 0.0317 569
9.00 0.0356 640
10.0 0.0396 711
20.0 0.0791 1420
30.0 0.119 2130
40.0 0.158 2850
50.0 0.198 3560
60.0 0.237 4270
70.0 0.277 4980
80.0 0.317 5690
90.0 0.356 6400
100 0.396 7110
200 0.791 1.42 × 104
300 1.19 2.13 × 104
400 1.58 2.85 × 104
500 1.98 3.56 × 104
600 2.37 4.27 × 104
700 2.77 4.98 × 104
758 3.00 5.39 × 104
Aluminum I Beam: 3.00 × 2.030 (3.00 inch tall × 2.030 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
2.03 0.0407 325
3.00 0.0601 480
4.00 0.0801 640
5.00 0.100 800
6.00 0.120 960
7.00 0.140 1120
8.00 0.160 1280
9.00 0.180 1440
10.0 0.200 1600
20.0 0.401 3200
30.0 0.601 4800
40.0 0.801 6400
50.0 1.00 8000
60.0 1.20 9600
70.0 1.40 1.12 × 104
80.0 1.60 1.28 × 104
90.0 1.80 1.44 × 104
100 2.00 1.60 × 104
150 3.00 2.40 × 104
Aluminum I Beam: 3.00 × 2.030 (3.00 inch tall × 2.030 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
2.03 0.129 578
3.00 0.190 854
4.00 0.253 1140
5.00 0.317 1420
6.00 0.380 1710
7.00 0.443 1990
8.00 0.506 2280
9.00 0.570 2560
10.0 0.633 2850
20.0 1.27 5690
30.0 1.90 8540
40.0 2.53 1.14 × 104
47.4 3.00 1.35 × 104
Aluminum I Beam: 3.00 × 2.030 (3.00 inch tall × 2.030 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
2.03 0.314 903
3.00 0.464 1330
4.00 0.618 1780
5.00 0.773 2220
6.00 0.927 2670
7.00 1.08 3110
8.00 1.24 3560
9.00 1.39 4000
10.0 1.55 4450
19.4 3.00 8630
Aluminum I Beam: 3.00 × 2.030 (3.00 inch tall × 2.030 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
2.03 0.651 1300
3.00 0.961 1920
4.00 1.28 2560
5.00 1.60 3200
6.00 1.92 3840
7.00 2.24 4480
8.00 2.56 5120
9.00 2.88 5760
9.36 3.00 5990
Aluminum I Beam: 3.00 × 2.030 (3.00 inch tall × 2.030 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
2.03 2.06 2310
2.96 3.00 3370
Additional Information
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